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A Theorem on Sums of Independent Positive Random Variables and Its Applications to Branching Random Processes

โœ Scribed by Chistyakov, V. P.

Book ID
118224389
Publisher
Society for Industrial and Applied Mathematics
Year
1964
Tongue
English
Weight
665 KB
Volume
9
Category
Article
ISSN
0040-585X

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๐Ÿ“œ SIMILAR VOLUMES

A limit theorem for partial sums of rand
A limit theorem for partial sums of random variables and its applications
โœ Wen Liu; Jia-an Yan; Weiguo Yang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 131 KB

In this paper, we establish a new limit theorem for partial sums of random variables. As corollaries, we generalize the extended Borel-Cantelli lemma, and obtain some strong laws of large numbers for Markov chains as well as a generalized strong ergodic theorem for irreducible and positive recurrent